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Session S13 - Harmonic Analysis, Fractal Geometry, and Applications

Thursday, July 15, 19:05 ~ 19:35 UTC-3

Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel-Lizorkin spaces

Virginia Naibo

Kansas State University, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We will present boundedness properties of pseudo-multipliers with symbols of Hörmander-type in function spaces associated to the Hermite operator. The main tools in the proofs involve new molecular decompositions and molecular synthesis estimates for Hermite Besov and Hermite Triebel-Lizorkin spaces, which allow to obtain boundedness results on spaces for which the smoothness allowed includes non-positive values. In particular, we obtain continuity results for pseudo-multipliers on Lebesgue and Hermite local Hardy spaces.

Joint work with Fu Ken Ly (The University of Sydney).

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